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12873696 = 2531173167
BaseRepresentation
bin110001000110…
…111111100000
3220020001101120
4301012333200
511243424241
61135532240
7214265433
oct61067740
926201346
1012873696
1172a3220
12438a080
132889894
1419d181a
1511e4666
hexc46fe0

12873696 has 96 divisors (see below), whose sum is σ = 37594368. Its totient is φ = 3824640.

The previous prime is 12873691. The next prime is 12873703. The reversal of 12873696 is 69637821.

It is a happy number.

12873696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12873691) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77005 + ... + 77171.

It is an arithmetic number, because the mean of its divisors is an integer number (391608).

Almost surely, 212873696 is an apocalyptic number.

12873696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12873696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797184).

12873696 is an abundant number, since it is smaller than the sum of its proper divisors (24720672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12873696 is a wasteful number, since it uses less digits than its factorization.

12873696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 12873696 is about 3587.9933110306. The cubic root of 12873696 is about 234.3694944129.

The spelling of 12873696 in words is "twelve million, eight hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 146 167 176 219 264 292 334 352 438 501 528 584 668 803 876 1002 1056 1168 1336 1606 1752 1837 2004 2336 2409 2672 3212 3504 3674 4008 4818 5344 5511 6424 7008 7348 8016 9636 11022 12191 12848 14696 16032 19272 22044 24382 25696 29392 36573 38544 44088 48764 58784 73146 77088 88176 97528 134101 146292 176352 195056 268202 292584 390112 402303 536404 585168 804606 1072808 1170336 1609212 2145616 3218424 4291232 6436848 12873696